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Finding the Fourth Proportional to 38,791.08, 53,529.66 and 21,796

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Solution

The fourth proportional to 38,791.08, 53,529.66 and 21,796 is: 30,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.08 : 53,529.66 = 21,796 : x
  2. Step 2: Convert to fraction form
    38,791.08/53,529.66 = 21,796/x
  3. Step 3: Cross multiply
    38,791.08x = 53,529.66 × 21,796
  4. Step 4: Simplify right side
    38,791.08x = 1,166,732,469.36
  5. Step 5: Solve for x
    x = 1,166,732,469.36/38,791.08
  6. Step 6: Final answer
    x = 30,077.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.